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Finding the Fourth Proportional to 120,448.44, 180,475.56 and 72,919.47

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Solution

The fourth proportional to 120,448.44, 180,475.56 and 72,919.47 is: 109,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,448.44 : 180,475.56 = 72,919.47 : x
  2. Step 2: Convert to fraction form
    120,448.44/180,475.56 = 72,919.47/x
  3. Step 3: Cross multiply
    120,448.44x = 180,475.56 × 72,919.47
  4. Step 4: Simplify right side
    120,448.44x = 13,160,182,183.15
  5. Step 5: Solve for x
    x = 13,160,182,183.15/120,448.44
  6. Step 6: Final answer
    x = 109,259.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.